System of equations involving square roots
Source: PAMO 2007 Q4
December 10, 2013
algebrasystem of equationsalgebra unsolved
Problem Statement
Solve the following system of equations for real and :
\begin{eqnarray*}
x &=& \sqrt{2y+3}\\
y &=& \sqrt{2z+3}\\
z &=& \sqrt{2x+3}.
\end{eqnarray*}